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5609664 = 26329739
BaseRepresentation
bin10101011001100011000000
3101120000000100
4111121203000
52414002124
6320122400
765452464
oct25314300
911500010
105609664
113191695
121a66400
131215438
14a604a4
1575c1c9
hex5598c0

5609664 has 42 divisors (see below), whose sum is σ = 16080740. Its totient is φ = 1869696.

The previous prime is 5609663. The next prime is 5609683. The reversal of 5609664 is 4669065.

It is a happy number.

5609664 is a `hidden beast` number, since 560 + 96 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5609663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4294 + ... + 5445.

Almost surely, 25609664 is an apocalyptic number.

It is an amenable number.

5609664 is an abundant number, since it is smaller than the sum of its proper divisors (10471076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5609664 is a wasteful number, since it uses less digits than its factorization.

5609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5609664 is about 2368.4729257477. The cubic root of 5609664 is about 177.6828928848.

The spelling of 5609664 in words is "five million, six hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9739 19478 29217 38956 58434 77912 87651 116868 155824 175302 233736 311648 350604 467472 623296 701208 934944 1402416 1869888 2804832 5609664